Heisenberg群上p-次Laplace方程的Liouville定理
Liouville Theorem for p-Sub-Laplacian Equation on the Heisenberg Group
DOI: 10.12677/pm.2025.153092, PDF,   
作者: 李 贺, 尤德辉：黄淮学院数学与统计学院，河南 驻马店；王新敬*：黄淮学院数学与统计学院，河南 驻马店；驻马店市生物医药防治与数据模型重点实验室，河南 驻马店
关键词: p-次Laplace方程；Moser迭代技巧；Liouville定理；p-Sub-Laplacian Equation； Moser Iterative Techniques； Liouville Theorem
摘要: 针对Heisenberg群上p-次Laplace方程，建立其弱解的Liouville型定理，证明过程主要基于Moser迭代技巧和弱解的正则性结果。
Abstract: In this paper, we give a Liouville type theorem for the weak solution of the p-sub-Laplacian equation on the Heisenberg group. The proof process relies on Moser iterative techniques and the regularity results of weak solutions.
文章引用：李贺, 王新敬, 尤德辉. Heisenberg群上p-次Laplace方程的Liouville定理[J]. 理论数学, 2025, 15(3): 189-195. https://doi.org/10.12677/pm.2025.153092

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